SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS

DOI10.1017/S0017089507003606zbMath1131.55008OpenAlexW2134037589MaRDI QIDQ5757165

Akira Kono, Yasuhiko Kamiyama, Shuichi Tsukuda, Daisuke Kishimoto

Publication date: 6 September 2007

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089507003606

zbMATH Keywords

gauge groupgeneralized Samelson product

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Function spaces in general topology (54C35) Whitehead products and generalizations (55Q15)

Related Items (17)

The order of Samelson products in \(Sp (n)\) ⋮ The homotopy types of \(G_{2}\)-gauge groups ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Mod \(p\) decompositions of gauge groups ⋮ The homotopy types of Sp(2)-gauge groups ⋮ Odd primary homotopy types of the gauge groups of exceptional Lie groups ⋮ Homotopy types of gauge groups of \(\mathrm{PU}(p)\)-bundles over spheres ⋮ Infiniteness ofA_∞-types of gauge groups ⋮ The homotopy types of \(\mathrm{Sp}(2)\)-gauge groups over closed simply connected four-manifolds ⋮ The homotopy types of \(\mathrm{SU}(n)\)-gauge groups over \(S^6\) ⋮ On 1-connected 8-manifolds with the same homology as \(S^3\times S^5\) ⋮ The homotopy types of \(\mathrm{SO}(4)\)-gauge groups ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ The homotopy types of \(SU(5)\)-gauge groups ⋮ Homotopy pullback of \(A_n\)-spaces and its applications to \(A_n\)-types of gauge groups

Cites Work

• A note on the Samelson product in the classical groups
• The generalized Whitehead product
• A note on the homotopy type of certain gauge groups
• The Yang-Mills equations over Riemann surfaces
• Thom Complexes
• Unstable K¹-group and homotopy type of certain gauge groups
• Vector fields on spheres
• Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\)

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